A biologist has determined that the maximum number of fruit flies that can be sustained in a carefully controlled environment (with a limited supply of space and food) is 500. Suppose that the rate at which the population of the colony increases obeys the rule
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where C is the carrying capacity (500) and Q denotes the number of fruit flies in the colony at any time t. If the initial population of fruit flies in the experiment is 20 and it grows to 35 after 20 days, determine the population of the colony of fruit flies on the 50th day.
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Round the answer to the nearest integer.
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__________ flies
Fill in the blank(s) with the appropriate word(s).
77
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0.316 × 8.8
A. 2.7808 B. 9 C. 9.116 D. 2
Find an equation y = mx + b that models the quantity y after x units of time.A quantity y is initially 10 and decreases at a rate of 21 per day.
A. y = -10x - 21 B. y = -21x - 10 C. y = -10x + 21 D. y = -21x + 10
Provide an appropriate response.If money earns interest at an annual rate of 8% compounded continuously, then the value (in dollars) of $10,000 due at the end of five years is
A. 10,000e0.4
B. 10,000e-0.4
C. 10,000(1.08)-5
D. 10,000(1.08)5
E. 
Solve the problem.Find parametric equations for the normal line to the surface 
at the point 
A. 
B. 
C. 
D. 
